An Introduction to Lie Groups and Lie Algebras (Cambridge by Alexander Kirillov

By Alexander Kirillov

With roots within the 19th century, Lie thought has due to the fact that came upon many and sundry functions in arithmetic and mathematical physics, to the purpose the place it's now considered as a classical department of arithmetic in its personal correct. This graduate textual content specializes in the learn of semisimple Lie algebras, constructing the required thought alongside the best way. the fabric lined levels from simple definitions of Lie teams to the category of finite-dimensional representations of semisimple Lie algebras. Written in a casual type, it is a modern creation to the topic which emphasizes the most options of the proofs and descriptions the required technical info, permitting the cloth to be conveyed concisely. in keeping with a lecture direction given via the writer on the kingdom college of latest York at Stony Brook, the booklet contains quite a few workouts and labored examples and is perfect for graduate classes on Lie teams and Lie algebras.

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